A car is moving at a rate of 64 miles per hour. The diameter of its wheels is 1.9 feet. (Round your answers to three decimal places.)   Find the number of revolutions per minute the wheels are rotating. Find the angular speed of the wheels in radians per minute.

cos(-1305°).

You are taking your first hot-air balloon ride. Your friend is standing on level ground,100 feet away from your point of launch, making a video of the terrified look on your rapidly ascending face. How rapidly? At one instant, the angle of elevation from the video camera to your face is 31.7°.One minute later, the angle of elevation is 76.2°.How far did you travel, to the nearest tenth of a foot, during that minute?

A kite is flying a metres above ground. The kite's string at this position measures 100 metres in length. The angle of elevation formed between the string and the ground measures 63°. How high is the kite above ground? State your answer as a numeric value only, rounded to the nearest hundredth of a metre. HA

The vehicle can travel underwater and also fly. It's time to turn it into a superfast hovercraft to travel on the surface of water. To travel on water, the tires rotate to become flat, as shown in the image. Find a suitable rate of rotation of the tires from 90° to 0° if it takes more than 9 s to make a tire horizontal. Plot the relationship. Write your answer in the boxes given below. 110 90 90° 70 50 Rate of rotation of the tires 30 10 Time taken to make the tire horizontal 5. 10 15 20 x Time taken (in s) Angle turned (in )

Find distance from A to B

Find the distance from A to C across the gorge shown in the figure. Do not round until the final answer. Round to two decimal places.

A ship leaves port at noon, heading due South at 16 knots. Three hours later, after clearing port, it changes course to S 15° W. Determine the ship's bearing and distance from the port at 5 pm. Round answers to 1 decimal place. Include a diagram.

Convert the angle in degrees to radians. Round to two decimal places. Use x = 3.1416. - 272° O A. -4.73 radians O B. -4.74 radians O C. -4.72 radians O D. - 4.75 radians

A wheel rotates at the rate of 25 revolutions per minute. How many radians per minute does it rotate?